Video about different kind of polygonal root of 2

[Kelvin Voskuijl]

Hello SeqFan'ers

I today saw this video on Polygonal roots  (but not the kindd resulting from polygonal numbers) and wondered if more was knownabout these and if they are worth adding to OEIS.

https://www.youtube.com/watch?v=SWJdUmmFY-A

Kelvin Voskuijl

[Charles Greathouse]

I agree that this is a natural way to extend the square root. How are you proposing to make it into an integer sequence?

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[Gareth McCaughan]

On 01/10/2025 15:48, Kelvin Voskuijl wrote:
> Hello SeqFan'ers

> I today saw this video on Polygonal roots  (but not the kind resulting
> from polygonal numbers) and wondered if more was known about these and

> if they are worth adding to OEIS.
> https://www.youtube.com/watch?v=SWJdUmmFY-A

(The video is about what happens if you generalize "x squared" meaning
"area of a square with side length x" to other regular pentagons and
then take the inverse of that operation. For any n, the "nth polygonal
root" of x is a constant C_n times the ordinary square root of x. You
can calculate C_n with a little bit of trigonometry.)

To add this to OEIS you'd need to get some _integer_ sequence(s) out of
it. How would you do that?

--
g

[Jack Brennen]

There are two related sequences already in OEIS?

A064313

A134030

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[Sean A. Irvine]

Kelvin also already recently added:

https://oeis.org/A388148 Decimal expansion of the tetrahedral root of 2

https://oeis.org/A389133 Octahedral

https://oeis.org/A389134 Icosahedral

https://oeis.org/A389135 Dodecahedral

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